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Automated Deduction in Geometry

7th International Workshop, ADG 2008, Shanghai, China, September 22-24, 2008, Revised Papers

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Thomas Sturm

    1. Max-Planck-Institut für Informatik, Saarbrücken, Germany

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  2. Christoph Zengler

    1. Wilhelm-Schickard-Institut für Informatik, Symbolic Computation Group, Universität Tübingen, Tübingen, Germany

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 6301)

Part of the book sub series: Lecture Notes in Artificial Intelligence (LNAI)

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Conference proceedings info: ADG 2008.

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Table of contents (11 papers)

  1. Front Matter

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  2. Contributed Papers

    1. Dynamical Systems of Simplices in Dimension Two or Three

      • Gérald Bourgeois, Sébastien Orange
      Pages 1-21

    2. On the Design and Implementation of a Geometric Knowledge Base

      • Xiaoyu Chen, Ying Huang, Dongming Wang
      Pages 22-41

    3. Proof Certificates for Algebra and Their Application to Automatic Geometry Theorem Proving

      • Benjamin Grégoire, Loïc Pottier, Laurent Théry
      Pages 42-59

    4. Multivariate Resultants in Bernstein Basis

      • Deepak Kapur, Manfred Minimair
      Pages 60-85

    5. Unique Factorization Domains in the Java Computer Algebra System

      • Heinz Kredel
      Pages 86-115

    6. Automatic Verification of the Adequacy of Models for Families of Geometric Objects

      • Aless Lasaruk, Thomas Sturm
      Pages 116-140

    7. Formalizing Projective Plane Geometry in Coq

      • Nicolas Magaud, Julien Narboux, Pascal Schreck
      Pages 141-162

    8. Linear Programming for Bernstein Based Solvers

      • Dominique Michelucci, Christoph Fünfzig
      Pages 163-178

    9. Offsetting Revolution Surfaces

      • Fernando San Segundo, J. Rafael Sendra
      Pages 179-188

    10. An Introduction to Java Geometry Expert

      • Zheng Ye, Shang-Ching Chou, Xiao-Shan Gao
      Pages 189-195

    11. On the Heilbronn Optimal Configuration of Seven Points in the Square

      • Zhenbing Zeng, Liangyu Chen
      Pages 196-224

  3. Back Matter

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  1. Automated Deduction in Geometry

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About this book

This book constitutes the thoroughly refereed post-workshop proceedings of the 7th International Workshop on Automated Deduction in Geometry, ADG 2008, held in Shanghai, China in September 2008. The 11 revised full papers presented were carefully reviewed and selected from numerous initial submissions for the workshop during two rounds of reviewing and improvement. The papers show the lively variety of topics and methods and the current applicability of automated deduction in geometry to different branches of mathematics such as discrete mathematics, combinatorics, and numerics; symbolic and numeric methods for geometric computation, and geometric constraint solving. Further issues are the design and implementation of geometry software, special-purpose tools, automated theorem provers - in short applications of ADG to mechanics, geometric modeling, CAGD/CAD, computer vision, robotics and education.

Editors and Affiliations

  • Max-Planck-Institut für Informatik, Saarbrücken, Germany

    Thomas Sturm

  • Wilhelm-Schickard-Institut für Informatik, Symbolic Computation Group, Universität Tübingen, Tübingen, Germany

    Christoph Zengler

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